| E-凸函数的一些新性质 |
| |
| 引用本文： | 周密. E-凸函数的一些新性质[J]. 海南师院学报, 2012, 0(1): 5-8 |
| |
| 作者姓名： | 周密 |
| |
| 作者单位： | 海南大学三亚学院理工分院,海南三亚572022 |
| |
| 基金项目： | 海南省自然科学基金资助项目（110009） |
| |
| 摘 要： | 文献[1]中Youness提出一类E-凸集和一类E-凸函数，削弱了已有的凸集和凸函数。文献[2]中Duca和Luspa利用两种上方图的概念（epis（f）和epi^E（f）），给出了E-凸函数的一些性质。本文在较弱的凸性条件上，利用文献[3]所得结论给出了E-凸函数的一些新性质。
|
| 关 键 词： | E-凸集 E-凸函数 几乎凸集 上方图 松驰2-凸集 |
Some New Properties of An E-Convex Function |
| |
| ZHOU Mi. Some New Properties of An E-Convex Function[J]. Journal of Hainan Normal University(Humanities and Social Sciences), 2012, 0(1): 5-8 |
| |
| Authors: | ZHOU Mi |
| |
| Affiliation: | ZHOU Mi (Branch College of Technology, SanYa College of HaiNan University, Sanya 572022, China) |
| |
| Abstract: | In Ref.1, Youness introduced a class of sets and a class of functions called E-convex sets and E-convex functions by relaxing the definitions of convex sets and convex functions. In Ref.2, Duca and Luspa gave some properties of E-convex functions using two notions of epigraph（epiE（f） and epiE （f））. In this paper, on the basis of the results obtained in Ref.2, some new characterizations of E-con- vex functions are discussed under a relatively weak convexity condition. |
| |
| Keywords: | E-convex set E-convex function nearly convex set epigraph slack2-convex set |
| 本文献已被 维普 等数据库收录！ |
